Bearing Stress in Local Zone Calculator

✖Prestressing Force is the force internally applied to the prestressed concrete section.ⓘ Prestressing Force [F]			+10% -10%
✖Punching area can be described as the defined as the space occupied by a flat shape or the surface of an object.ⓘ Punching Area [A_pun]			+10% -10%

✖Bearing Stress is described as the contact pressure between the separate bodies.ⓘ Bearing Stress in Local Zone [f_br]

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Formula

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Bearing Stress in Local Zone

Formula

`"f"_{"br"} = "F"/"A"_{"pun"}`

Example

`"50N/mm²"="400kN"/"0.008m²"`

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Download Transmission of Prestress Formulas PDF

Bearing Stress in Local Zone Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bearing Stress = Prestressing Force/Punching Area
f_br = F/A_pun
This formula uses 3 Variables

Variables Used

Bearing Stress - (Measured in Pascal) - Bearing Stress is described as the contact pressure between the separate bodies.
Prestressing Force - (Measured in Newton) - Prestressing Force is the force internally applied to the prestressed concrete section.
Punching Area - (Measured in Square Meter) - Punching area can be described as the defined as the space occupied by a flat shape or the surface of an object.

STEP 1: Convert Input(s) to Base Unit

Prestressing Force: 400 Kilonewton --> 400000 Newton (Check conversion here)
Punching Area: 0.008 Square Meter --> 0.008 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_br = F/A_pun --> 400000/0.008

Evaluating ... ...

f_br = 50000000

STEP 3: Convert Result to Output's Unit

50000000 Pascal -->50 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

50 Newton per Square Millimeter <-- Bearing Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Transmission of Prestress » Post-Tensioned Members » Bearing Stress in Local Zone

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Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 12 Post-Tensioned Members Calculators

Cube Strength at Transfer given Allowable Bearing Stress

Go Cube Strength = Allowable Bearing Stress in Members/(0.48*sqrt(Bearing Area Between Screw and Nut/Punching Area))

Allowable Bearing Stress in Local Zone

Go Allowable Bearing Stress in Members = 0.48*Cube Strength*sqrt(Bearing Area Between Screw and Nut/Punching Area)

Transverse Dimension of End Zone given Bursting Force for Square End Zone

Go Traverse Dimension of End Zone = (-0.3*Side Length of Bearing Plate)/((Prestress Bursting force/Prestressing Force)-0.32)

Length of Side of Bearing Plate given Bursting Force for Square End Zone

Go Side Length of Bearing Plate = -(((Prestress Bursting force/Prestressing Force)-0.32)/0.3)*Traverse Dimension of End Zone

Prestress in Tendon given Bursting Force for Square End Zone

Go Prestressing Force = Prestress Bursting force/(0.32-0.3*(Side Length of Bearing Plate/Traverse Dimension of End Zone))

Bursting Force for Square End Zone

Go Prestress Bursting force = Prestressing Force*(0.32-0.3*(Side Length of Bearing Plate/Traverse Dimension of End Zone))

End Zone Reinforcement along Transmission Length

Go End Zone Reinforcement = (2.5*Moment in Structures)/(Allowable Stress*Total Depth)

Allowable Stress given End Zone Reinforcement

Go Allowable Stress = (2.5*Moment in Structures)/(End Zone Reinforcement*Total Depth)

Stress in Transverse Reinforcement given End Zone Reinforcement

Go Stress in Transverse Reinforcement = Prestress Bursting force/End Zone Reinforcement

End Zone Reinforcement in each Direction

Go End Zone Reinforcement = Prestress Bursting force/Stress in Transverse Reinforcement

Prestress in Tendon given Bearing Stress

Go Prestressing Force = Bearing Stress*Punching Area

Bearing Stress in Local Zone

Go Bearing Stress = Prestressing Force/Punching Area

Bearing Stress in Local Zone Formula

Bearing Stress = Prestressing Force/Punching Area
f_br = F/A_pun

What is meant by Prestress in Tendon?

Prestress in Tendon is defined to introduce internal stresses into (something, such as a structural beam) to counteract the stresses that will result from applied load. A tendon for prestressed concrete structure comprises a core member such as a steel wire for prestressed concrete structures, a steel strand for prestressed concrete structures or a steel bar for prestressed concrete structures, and an unset bonding material coating the core structure in a predetermined thickness, having a specific setting time determined by selectively determining the respective contents of the ingredient of the bonding material and capable of setting at an ordinary temperature.

What is the difference between Normal Stress and Bearing Stress?

Normal Stress -
A normal stress is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross sectional area.
A normal stress will occur when a member is placed in tension or compression. Examples of members experiencing pure normal forces would include columns, collar ties, etc.

Bearing Stress -
Bearing stress is the contact pressure between the separate bodies. It differs from compressive stress, as it is an internal stress caused by compressive forces.

How to Calculate Bearing Stress in Local Zone?

Bearing Stress in Local Zone calculator uses Bearing Stress = Prestressing Force/Punching Area to calculate the Bearing Stress, The Bearing Stress in Local Zone formula is defined as the contact pressure between the separate bodies it differs from compressive stress as it is an internal stress caused by a load. Bearing Stress is denoted by f_br symbol.

How to calculate Bearing Stress in Local Zone using this online calculator? To use this online calculator for Bearing Stress in Local Zone, enter Prestressing Force (F) & Punching Area (A_pun) and hit the calculate button. Here is how the Bearing Stress in Local Zone calculation can be explained with given input values -> 8E-9 = 400000/0.008.

FAQ

What is Bearing Stress in Local Zone?

The Bearing Stress in Local Zone formula is defined as the contact pressure between the separate bodies it differs from compressive stress as it is an internal stress caused by a load and is represented as f_br = F/A_pun or Bearing Stress = Prestressing Force/Punching Area. Prestressing Force is the force internally applied to the prestressed concrete section & Punching area can be described as the defined as the space occupied by a flat shape or the surface of an object.

How to calculate Bearing Stress in Local Zone?

The Bearing Stress in Local Zone formula is defined as the contact pressure between the separate bodies it differs from compressive stress as it is an internal stress caused by a load is calculated using Bearing Stress = Prestressing Force/Punching Area. To calculate Bearing Stress in Local Zone, you need Prestressing Force (F) & Punching Area (A_pun). With our tool, you need to enter the respective value for Prestressing Force & Punching Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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